1952992758240 has 192 divisors, whose sum is σ = 6879015097920. Its totient is φ = 517480704000.

The previous prime is 1952992758187. The next prime is 1952992758253. The reversal of 1952992758240 is 428572992591.

1952992758240 is a `hidden beast` number, since 1 + 9 + 5 + 2 + 9 + 9 + 2 + 7 + 582 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 761511 + ... + 2117990.

It is an arithmetic number, because the mean of its divisors is an integer number (35828203635).

Almost surely, 2^{1952992758240} is an apocalyptic number.

1952992758240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1952992758240 is an abundant number, since it is smaller than the sum of its proper divisors (4926022339680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1952992758240 is a wasteful number, since it uses less digits than its factorization.

1952992758240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2879682 (or 2879668 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 1952992758240 in words is "one trillion, nine hundred fifty-two billion, nine hundred ninety-two million, seven hundred fifty-eight thousand, two hundred forty".